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201212101002020 = 22561388214248421
BaseRepresentation
bin101101110000000001010111…
…110011100000001100100100
3222101102200121021111202121212
4231300001113303200030210
5202333124340324031040
61551535321344330552
760245044302662033
oct5560012763401444
9871380537452555
10201212101002020
1159126633477359
121a698305613a58
1388372b1912cc4
143798a0933c71a
15183dec62ebd65
hexb70057ce0324

201212101002020 has 48 divisors (see below), whose sum is σ = 429483550053936. Its totient is φ = 79163358912000.

The previous prime is 201212101001987. The next prime is 201212101002043. The reversal of 201212101002020 is 20200101212102.

It can be written as a sum of positive squares in 8 ways, for example, as 42977438495524 + 158234662506496 = 6555718^2 + 12579136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201212101001986 and 201212101002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45237410 + ... + 49485830.

It is an arithmetic number, because the mean of its divisors is an integer number (8947573959457).

Almost surely, 2201212101002020 is an apocalyptic number.

201212101002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212101002020 is an abundant number, since it is smaller than the sum of its proper divisors (228271449051916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201212101002020 is a wasteful number, since it uses less digits than its factorization.

201212101002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287312 (or 4287310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201212101002020 its reverse (20200101212102), we get a palindrome (221412202214122).

The spelling of 201212101002020 in words is "two hundred one trillion, two hundred twelve billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 38821 77642 155284 194105 388210 776420 2368081 4248421 4736162 8496842 9472324 11840405 16993684 21242105 23680810 42484210 47361620 84968420 259153681 518307362 1036614724 1295768405 2591536810 5183073620 164927951641 329855903282 659711806564 824639758205 1649279516410 3298559032820 10060605050101 20121210100202 40242420200404 50303025250505 100606050501010 201212101002020